A syringe assembly comprises a syringe barrel having an elongated body defining a chamber for retaining fluid, an open proximal end, a distal end and a frusto-conically shaped tip extending from the distal end and having a passageway therethrough in fluid communication with the chamber. The chamber has an inside diameter of at least 13.5 mm. A stopper is in fluid-tight engagement inside the barrel. An elongated plunger rod extends proximally from the stopper through the open proximal end of the barrel. A flange is positioned at the proximal end of the plunger rod. The flange is shaped and positioned to limit the distal motion of the plunger rod in the barrel by contacting the proximal end of the barrel. A tip cap is releasably connected to the tip for sealing the passageway and the chamber contains injectable liquid.